Answer
Symmetric to only y-axis
Work Step by Step
Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis.
$(-x)^{2}$-6= $x^{2}$-6
Symmetric to y-axis
Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis.
-y=$x^{2}$-6
y=-$x^{2}$+6
Equations are not equivalent, so not symmetric to x-axis.
Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin.
-y=$(-x)^{2}$-6
y=-$x^{2}$+6
Equations are not equivalent, so not symmetric to origin.
